4125367834560 has 896 divisors, whose sum is σ = 17275576320000. Its totient is φ = 906858270720.

The previous prime is 4125367834519. The next prime is 4125367834619. The reversal of 4125367834560 is 654387635214.

4125367834560 is a `hidden beast` number, since 4 + 1 + 2 + 5 + 3 + 6 + 78 + 3 + 4 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4125367834497 and 4125367834506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 305598691 + ... + 305612189.

Almost surely, 2^{4125367834560} is an apocalyptic number.

4125367834560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4125367834560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8637788160000).

4125367834560 is an abundant number, since it is smaller than the sum of its proper divisors (13150208485440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4125367834560 is a wasteful number, since it uses less digits than its factorization.

4125367834560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13726 (or 13710 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 4125367834560 in words is "four trillion, one hundred twenty-five billion, three hundred sixty-seven million, eight hundred thirty-four thousand, five hundred sixty".